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Finding the Fourth Proportional to 386,477.53, 533,328.20 and 214,394.65

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Solution

The fourth proportional to 386,477.53, 533,328.20 and 214,394.65 is: 295,858.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,477.53 : 533,328.20 = 214,394.65 : x
  2. Step 2: Convert to fraction form
    386,477.53/533,328.20 = 214,394.65/x
  3. Step 3: Cross multiply
    386,477.53x = 533,328.20 × 214,394.65
  4. Step 4: Simplify right side
    386,477.53x = 114,342,711,172.82
  5. Step 5: Solve for x
    x = 114,342,711,172.82/386,477.53
  6. Step 6: Final answer
    x = 295,858.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.